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This equation has one solution.5(x – 1) + 3x = 7(x + 1)What is the solution?

Sagot :

The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.

What is a solution for an equation?

  • A solution is a value, that satisfies the equation.
  • A solution is also said to be a root for the equation.
  • Depending upon the degree of the variable, the number of solutions for that equation is defined.

Calculation:

Given equation is 5(x - 1) + 3x = 7(x + 1)

On simplifying the equation, we get

5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7

⇒ 8x - 5 = 7x + 7

⇒ 8x - 7x = 7 + 5

⇒ x = 12

Therefore, the solution for the given equation is x = 12.

Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.

Learn more about an equation and its solutions here:

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